Exact controllability for the semilinear string equation in non cylindrical domains
F. Araruna, G. Antunes, L. Medeiros (2004)
Control and Cybernetics
Similarity:
F. Araruna, G. Antunes, L. Medeiros (2004)
Control and Cybernetics
Similarity:
E. Zuazua (1993)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
S. Guerrero, O. Yu. Imanuvilov (2007)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Alexander Khapalov (1999)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Karine Beauchard (2005-2006)
Séminaire Équations aux dérivées partielles
Similarity:
One considers a quantum particle in a 1D moving infinite square potential well. It is a nonlinear control system in which the state is the wave function of the particle and the control is the acceleration of the potential well. One proves the local controllability around any eigenstate, and the steady state controllability (controllability between eigenstates) of this control system. In particular, the wave function can be moved from one eigenstate to another one, exactly and in finite...
Jerzy Klamka (1996)
Kybernetika
Similarity:
Alexander Y. Khapalov (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain via the coefficient (bilinear control) in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability...